Dynamics analysis and control optimization of a pest management predator–prey model with an integrated control strategy

作者:

Highlights:

• This work presents a new integrated pest management predator–prey model.

• It has shown the existence of the order-1 periodic orbit for the proposed model.

• It has verified the stability of the order-1 periodic orbit by geometric method.

• It has obtained optimal pest control level by an optimization problem.

摘要

•This work presents a new integrated pest management predator–prey model.•It has shown the existence of the order-1 periodic orbit for the proposed model.•It has verified the stability of the order-1 periodic orbit by geometric method.•It has obtained optimal pest control level by an optimization problem.

论文关键词:Integrated pest management,Optimization,Order-1 periodic orbit,Predator–prey system,Stability

论文评审过程:Received 18 November 2015, Revised 19 July 2016, Accepted 26 July 2016, Available online 4 August 2016, Version of Record 4 August 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.07.046